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9947412000 = 2532531914543
BaseRepresentation
bin10010100001110100…
…10111011000100000
3221200020210212221200
421100322113120200
5130333014141000
64323023321200
7501335415111
oct112072273040
927606725850
109947412000
114245066959
121b17450200
13c26b37106
146a5194208
153d3471500
hex250e97620

9947412000 has 288 divisors, whose sum is σ = 37163992320. Its totient is φ = 2512857600.

The previous prime is 9947411989. The next prime is 9947412017. The reversal of 9947412000 is 2147499.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 676729 + ... + 691271.

It is an arithmetic number, because the mean of its divisors is an integer number (129041640).

Almost surely, 29947412000 is an apocalyptic number.

9947412000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9947412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18581996160).

9947412000 is an abundant number, since it is smaller than the sum of its proper divisors (27216580320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9947412000 is a wasteful number, since it uses less digits than its factorization.

9947412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14593 (or 14572 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 9947412000 is about 99736.7134008335. The cubic root of 9947412000 is about 2150.6514701466.

Adding to 9947412000 its reverse (2147499), we get a palindrome (9949559499).

The spelling of 9947412000 in words is "nine billion, nine hundred forty-seven million, four hundred twelve thousand".